Question 696429

{{{f(x)=(3x-8)/(4x+20)}}}...domain will be all real numbers {{{x}}} except {{{x}}} that makes denominator {{{4x+20}}} equal to zero

{{{4x+20=0}}}...>...{{{4x=-20}}}...>...{{{x=-20/4}}}...>...{{{x=-5}}}

so,

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \text{domain }\left{x\,\in\,\mathbb{R}\,:\,x\,\neq\,-5\}]